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Finding the Third Proportional to 29,853 and 46,595

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Solution

The third proportional to 29,853 and 46,595 is: 72,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853 : 46,595 = 46,595 : x
  2. Step 2: Convert to fraction form
    29,853/46,595 = 46,595/x
  3. Step 3: Cross multiply
    29,853x = 46,595 × 46,595
  4. Step 4: Simplify right side
    29,853x = 2,171,094,025
  5. Step 5: Solve for x
    x = 2,171,094,025/29,853
  6. Step 6: Final answer
    x = 72,726.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.